Bifurcations of an epidemic model with non-linear incidence and infection-dependent removal rate.

@article{Moghadas2006BifurcationsOA,
  title={Bifurcations of an epidemic model with non-linear incidence and infection-dependent removal rate.},
  author={Seyed M. Moghadas and Murray E. Alexander},
  journal={Mathematical medicine and biology : a journal of the IMA},
  year={2006},
  volume={23 3},
  pages={
          231-54
        }
}
An epidemic model with a generalized non-linear incidence is extended to incorporate the effect of an infection-dependent removal strategy, which is defined as a function of the number of infected individuals. It is assumed that the removal rate decreases from a maximum capacity for removing infected individuals as their number increases. The existence and stability of the associated equilibria are analysed, and the basic reproductive number (R0) is formulated. It is shown that R0 is… CONTINUE READING
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